A.2b 
The student will perform operations on polynomials, including
b) adding, subtracting, multiplying, and dividing polynomials.


Essential Knowledge and Skills 
 Model sums, differences, products, and quotients of polynomials with concrete objects and their related pictorial representations.
 Relate concrete and pictorial manipulations that model polynomial operations to their corresponding symbolic representations.
 Find sums and differences of polynomials.
 Find products of polynomials. The factors will have no more than five total terms (i.e. (4x+2)(3x+5) represents four terms and (x+1)(2x2 +x+3) represents five terms).
 Find the quotient of polynomials, using a monomial or binomial divisor, or a completely factored divisor.

Essential Understandings 
 Operations with polynomials can be represented concretely, pictorially, and symbolically.
 Polynomial expressions can be used to model realworld situations.
 The distributive property is the unifying concept for polynomial operations.


Vertical Articulation 
 SOL 7.16  apply properties w/ real numbers: a) commutative and associative properties for add/multi; b) distributive property; c) add/multi identity properties; d) add/multi inverse properties; e) multi property of zero
 SOL 8.15  c) identify properties of operations used to solve equations
 SOL AII.3  perform operations on complex numbers/express results in simplest form using patterns of the powers of i/ID field properties for complex numbers

Instructional Materials 
 VDOE ESS Lesson: Adding and Subtracting Polynomials Using Algebra Tiles  Expressions and Operations (PDF)  Adding and subtracting polynomials (Word)
 Notes: Adding and Subtracting Polynomials (flipchart)
 Notes: Adding and Subtracting Polynomials (ppt)

Real World Lessons 

Practice 
 VDOE ESS: Adding and Subtracting Polynomials
Using Algebra Tiles (pdf)
 Worksheet: Adding and Subtracting Polynomials CW (doc)
 Worksheet: Adding and Subtracting Polynomials HW (doc)
 ExamView Quiz: Adding and Subtracting Polynomials
 Prentice Hall Quiz

SelfAssessments 

Skills 
 JMU Pivotal Question: Adding Polynomials (doc)

Videos 
 Video: PH Adding Polynomials
 Video: PH Subtracting Polynomials

Explore
Learning 
 Addition of Polynomials  Activity A  Add polynomials using an area model. Use stepbystep feedback to diagnose any problems in the polynomial models and the polynomial addition.

Websites 
 Interactive Notes: Adding and Subtracting Polynomials  lessons and practice problems at Regentsprep.org

Old Website Links 

Common Core
Standards 
7.EE.1 
8.EE.1 
NRN.1 
NRN.2 
ASSE.2 
ASSE.3a 
ASSE.3b 
ASSE.3c 
AAPR.1 
AAPR.4 
FIF.8a 
